"Kevin has got to get a little bit more recognition because of his outstanding improvement over the years," he said.
"He has been playing in the Premiership since he was 19. As a squad member he is worth a shout."
Allardyce went on: "It was a tremendous performance and a tremendous effort from the players. The way we took control of the game was more pleasing for me.
"Kevin Davies was a thorn in City's side all the way through the game.
"That's our 12th clean sheet of the season - the best we have ever done. If we keep in that mode at home it is going to bring us a lot of success."